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Five days in your work week, 8 hours a day for work, 40 hours per week. Let's say 6 remaining hours a day for personal, by five days a week equals 30 hours per week. Add 14 hours a day by 2 days for the weekend to the personal hours you get 44 hours. So yeah, that would be a reasonable calculus. Take the $500 and divide off of the 84 total hours. 44 hours is 52% ($261.90)  of 84 hours for personal and 40 hours is 47% ($238.10) of 84 hours for work. The "science" behind these metrics are typically based off of reasonability.